If it's done in the ground, I don't see a problem with your idea. If it's in a pot, that's another matter. Honeysuckles have massive roots and it would take a mighty big pot to accomodate two vines in one pot.

One is evergreen, the other not. One is a big vine, the other quite petite as honeysuckles go. One needs annual pruning and the other does not. For these reasons, I would not recommend planting the two together. Diffcult to maintain well and one will overwhelm the other.

Combining two very similar in habit and growth characteristics - like the successful clematis pairings - is one thing. Combining two distict species wtih widely different growing habits is another and pretty much a recipe for less than happy results.